Shannon proposed a formula that allows one to calculate the maximum data rate [expressed in bps (bits/second)] for an analog signal with noise send over a channel. (For help, see slide 25 in chapter 14 posted on BB.)

S = f log2 (1+W/N) where:

- S data transfer rate in bps

- f signal bandwidth [expressed in Hz]

- W signal power [in Watts], and

- N noise power [in Watts]

Calculate the data rate (speed of transmission) of the telephone signal of 3.4 KHz bandwidth, 20 watts of power, and 0.02 watts of noise? Show your calculations. (Note that the log function uses base 2.) You may use Excel function =LOG(x, 2) to calculate log2(x), where x is an argument and 2 is the base; or you may use your calculator with the LOG10(x) function knowing that log10(x)/log10(2) = log2(x).